Grade 6 Banks and Simple Interest

Interactive step-by-step solver for understanding banks and calculating simple interest.

Grade 6 Banks and Simple Interest

Step-by-Step Learning

Learn about banks and simple interest through these example problems with detailed step-by-step solutions.

Example 1: Calculating Simple Interest

Calculate the simple interest on a principal of ₹1000 at a rate of 5% per year for 2 years.

Step 1: Identify the given values:

Principal (P) = ₹1000, Rate (R) = 5%, Time (T) = 2 years.

Step 2: Use the simple interest formula:

\( \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \).

Step 3: Substitute the values:

\( \text{SI} = \frac{1000 \times 5 \times 2}{100} = \frac{10000}{100} = 100 \).

Step 4: Therefore, the simple interest is ₹100.
SI: P ₹1000, R 5%, T 2 years Formula: \( \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \) SI: \( \frac{1000 \times 5 \times 2}{100} = 100 \) Result: ₹100

Example 2: Finding the Amount

Find the amount after depositing ₹2000 at a rate of 4% per year for 3 years.

Step 1: Identify the given values:

Principal (P) = ₹2000, Rate (R) = 4%, Time (T) = 3 years.

Step 2: Calculate simple interest:

\( \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} = \frac{2000 \times 4 \times 3}{100} = 240 \).

Step 3: Calculate the amount:

\( \text{Amount} = \text{P} + \text{SI} = 2000 + 240 = 2240 \).

Step 4: Therefore, the amount is ₹2240.
Amount: P ₹2000, R 4%, T 3 years SI: \( \frac{2000 \times 4 \times 3}{100} = 240 \) Amount: \( 2000 + 240 = 2240 \) Result: ₹2240

Example 3: Finding the Principal

The simple interest earned is ₹150 at a rate of 6% per year for 2 years. Find the principal.

Step 1: Identify the given values:

Simple Interest (SI) = ₹150, Rate (R) = 6%, Time (T) = 2 years.

Step 2: Use the simple interest formula to find principal:

\( \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \).

\( \text{P} = \frac{\text{SI} \times 100}{\text{R} \times \text{T}} \).

Step 3: Substitute the values:

\( \text{P} = \frac{150 \times 100}{6 \times 2} = \frac{15000}{12} = 1250 \).

Step 4: Therefore, the principal is ₹1250.
Principal: SI ₹150, R 6%, T 2 years Formula: \( \text{P} = \frac{\text{SI} \times 100}{\text{R} \times \text{T}} \) P: \( \frac{150 \times 100}{6 \times 2} = 1250 \) Result: ₹1250

Example 4: Finding the Rate

A principal of ₹5000 earns ₹750 simple interest over 3 years. Find the rate of interest.

Step 1: Identify the given values:

Principal (P) = ₹5000, Simple Interest (SI) = ₹750, Time (T) = 3 years.

Step 2: Use the simple interest formula to find the rate:

\( \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} \).

\( \text{R} = \frac{\text{SI} \times 100}{\text{P} \times \text{T}} \).

Step 3: Substitute the values:

\( \text{R} = \frac{750 \times 100}{5000 \times 3} = \frac{75000}{15000} = 5 \).

Step 4: Therefore, the rate of interest is 5% per year.
Rate: P ₹5000, SI ₹750, T 3 years Formula: \( \text{R} = \frac{\text{SI} \times 100}{\text{P} \times \text{T}} \) R: \( \frac{750 \times 100}{5000 \times 3} = 5 \) Result: 5%

Example 5: Real-World Problem

A person deposits ₹3000 in a bank at 8% per year for 1 year. Find the interest earned and the total amount.

Step 1: Identify the given values:

Principal (P) = ₹3000, Rate (R) = 8%, Time (T) = 1 year.

Step 2: Calculate simple interest:

\( \text{SI} = \frac{\text{P} \times \text{R} \times \text{T}}{100} = \frac{3000 \times 8 \times 1}{100} = 240 \).

Step 3: Calculate the amount:

\( \text{Amount} = \text{P} + \text{SI} = 3000 + 240 = 3240 \).

Step 4: Therefore, the interest earned is ₹240, and the total amount is ₹3240.
Deposit: P ₹3000, R 8%, T 1 year SI: \( \frac{3000 \times 8 \times 1}{100} = 240 \) Amount: \( 3000 + 240 = 3240 \) Result: ₹240, ₹3240

Practice Mode

Enter your own simple interest problem, and get a step-by-step solution.

Note: This solver handles calculating simple interest (e.g., Principal ₹1000, rate 5%, time 2 years; find interest), finding the amount (e.g., Principal ₹2000, rate 4%, time 3 years; find amount), finding the principal (e.g., Interest ₹150, rate 6%, time 2 years; find principal), finding the rate (e.g., Principal ₹5000, interest ₹750, time 3 years; find rate), and real-world problems (e.g., Deposit ₹3000, rate 8%, time 1 year; find interest and amount). Enter the problem clearly.

Use formats like 'Principal ₹1000, rate 5%, time 2 years; find interest', 'Principal ₹2000, rate 4%, time 3 years; find amount', 'Interest ₹150, rate 6%, time 2 years; find principal', 'Principal ₹5000, interest ₹750, time 3 years; find rate', or 'Deposit ₹3000, rate 8%, time 1 year; find interest and amount'.